Page 159 - Math Grade 11 (Basic)

PROEUS DARA

2
2
, (_,_x__+_l~)'_,_(x_-_3~)_-~(x~_+_l~)~(x_-_3~)'
2. y = ~
2
(x- 3 )
2
_ 2x(x- 3) (x + 1)( I)
(x 3t
0
2
2} -6x-x l
=
(x- 3

2
y' ( l ) = 1 - 6 X J - 1 = _ ~ = _ ~ '1
(1 3 4 2

1:1. y' = [(1 x)(2x+ 1)]'(3x 2)-[(\-x)(2x+ 1)](3x-2)'
(3x-2)

_ [(1 x)'(2x+ 1)+(1 x)(2x+ 1)'](3x 2) (1-x)(2x+ 1)(3)
2
(3x 2)
_ [(-1)(2x+l)+(l x)(2)](3x-2)-3(1 x)(2x+1)
- 2
(3x-2)
_ (-4x+ 1)(3x-2)-(6x+3-6i 3x)
- 2
(3x-2)
2 2
12x + llx-2-3x+6x -3
=
(3x
2
- 6x + 8x- 5
=
(3x-
2
y' ( 0) = - 6 . 0 + 8 . 0 5 = - ~ '1
4
.. (3. 0-
""
c'
t,~au;f! Fi. 1:1 M 21 ~ i':i1 t 1 y' ab y'(-1) " tSHSI:1'i:Hl y = - X '1
1 x-1
2. 1:1 M 21 & i':i1 & ~ y' ab y'(l) tSHSt1132 y = x+ l '1
1 7 -
X
R. t1M21~i':i1&~ y' sb y'(o) tSHSt113S y = (x+ l)(l-x) '1
1 2x-l

2
H~t113S .f'(x) 'tf1Sti':i1t1 [f'(x)]' '1 H~t113S [.f'(x)]' = (18x 2x+3)' = 36x-2 tUTlm

bi':i1t~9 2 ts f(x) '1

bRfiM~hlHhl~ f"(x) = 36x-2 '1

156